Least Common Multiple of 5667 and 5674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5667 and 5674 the smallest integer that is 32154558 that is divisible by both numbers.

Least Common Multiple (LCM) of 5667 and 5674 is 32154558.

LCM(5667,5674) = 32154558

LCM of 5667 and 5674

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5667 and 5674

LCM of 5667 and 5674 is 32154558

Least common multiple can be found by multiplying the highest exponent prime factors of 5667 and 5674. First we will calculate the prime factors of 5667 and 5674.

Prime Factorization of 5667


3 5667
1889 1889
1

Prime factors of 5667 are 3,1889. Prime factorization of 5667 in exponential form is:

5667 = 31×18891

Prime Factorization of 5674


2 5674
2837 2837
1

Prime factors of 5674 are 2,2837. Prime factorization of 5674 in exponential form is:

5674 = 21×28371

Now multiplying the highest exponent prime factors to calculate the LCM of 5667 and 5674.

LCM(5667,5674) = 21×31×18891×28371
LCM(5667,5674) = 32154558

Factors of 5667

List of positive integer factors of 5667 that divides 5667 without a remainder.

1, 3, 1889, 5667

Factors of 5674

List of positive integer factors of 5674 that divides 5674 without a remainder.

1, 2, 2837, 5674

Least Common Multiple of 5667 and 5674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5667 and 5674, than apply into the LCM equation.

GCF(5667,5674) = 1
LCM(5667,5674) = ( 5667 × 5674) / 1
LCM(5667,5674) = 32154558 / 1
LCM(5667,5674) = 32154558

Properties of LCM 5667 and 5674

(i) The LCM of 5674 and 5667 is associative

LCM of 5667 and 5674 = LCM of 5674 and 5667

Related Least Common Multiples of 5667

Related Least Common Multiples of 5674

Frequently Asked Questions on LCM of 5667 and 5674

1. What is the LCM of 5667 and 5674?

Answer: LCM of 5667 and 5674 is 32154558.

2. What are the Factors of 5667?

Answer: Factors of 5667 are 1, 3, 1889, 5667. There are 4 integers that are factors of 5667. The greatest factor of 5667 is 5667.

3. What are the Factors of 5674?

Answer: Factors of 5674 are 1, 2, 2837, 5674. There are 4 integers that are factors of 5674. The greatest factor of 5674 is 5674.

4. How to Find the LCM of 5667 and 5674?

Answer:

Least Common Multiple of 5667 and 5674 = 32154558

Step 1: Find the prime factorization of 5667

5667 = 3 x 1889

Step 2: Find the prime factorization of 5674

5674 = 2 x 2837

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 32154558 = 2 x 3 x 1889 x 2837

Step 4: Therefore, the least common multiple of 5667 and 5674 is 32154558.